论文标题
重力理论的概率解构，第二部分：弯曲空间
Probabilistic deconstruction of a theory of gravity, Part II: curved space
论文作者
论文摘要
我们建议全息二元性的潜在背景和ryu-takayanagi公式是，时空的体积度量是受量子动力学约束的概率度量。我们使用关节量子分布来定义量子随机过程，这些量子分布在量子系统中实现为投影仪的期望值。在抗DE保姆JT重力中，我们表明爱因斯坦的方程是由边界引起的量子随机过程下的概率的演变而产生的，而在量子过程下，重力理论中压缩空间的面积被识别为概率密度。推断这些和相关的结果在Arxiv中发现的扁平JT重力中：2108.10916，我们猜想在概率相对于量子随机过程的概率演变的半古典限制中会产生一般相对论。
We propose that the underlying context of holographic duality and the Ryu-Takayanagi formula is that the volume measure of spacetime is a probability measure constrained by quantum dynamics. We define quantum stochastic processes using joint quantum distributions which are realized in a quantum system as expectation values of products of projectors. In anti-de Sitter JT gravity, we show that Einstein's equations arise from the evolution of probability under the quantum stochastic process induced by the boundary, with the area of compactified space in the gravitational theory identified as a probability density evolving under the quantum process. Extrapolating these and related results in flat JT gravity found in arXiv:2108.10916, we conjecture that general relativity arises in the semi-classical limit of the evolution of probability with respect to quantum stochastic processes.
